Question

if the angle of a triangle are in ratio 1:2:3 then smallest triangle is _radian​

Answer 1

Answer:

the smallest angle is 30°

Step-by-step explanation:

the an angles are 30°,60°,90°

Explaination

Answer 2

Given:-

• Ratio of the angles of triangle = 1:2:3.

To Find:-

• Smallest Angle in Radian

Property used:-

• Angle Sum Property of Triangle

Solution:-

Let the angles of triangle be 1x , 2x and 3x.

By Angle Sum Property,

$⟹\:1x + 2x + 3x = 180°$

$⟹\:6x= 180°$

$⟹\:x=\dfrac{180°}{6}$

$⟹\:x= 30$

So, The Angles of the triangle are:-

• 1x = 1 × 30 = 30°

• 2x = 2 × 30 = 60°

• 3x = 3 × 30 = 90°

Smallest Angle = 30°

Formula to convert degree into Radian:-

$=\:Angle\: Given×\dfrac{π}{180}$

$=\:30°× \dfrac{π}{180}$

$=\: \dfrac{π}{60}$

$=\: \dfrac{22}{60×7}$

$=\: 0.523599$

Hence, The Smallest Angle of the Triangle in Radian is 0.523599.

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